analysis.calculus.formal_multilinear_series ⟷ Mathlib.Analysis.Calculus.FormalMultilinearSeries

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

@@ -3,7 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Analysis.NormedSpace.Multilinear
+import Analysis.NormedSpace.Multilinear.Basic
 
 #align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 

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

@@ -294,7 +294,7 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   · simp [h]
   ·
     classical
-    rw [order_eq_find' h] at hp 
+    rw [order_eq_find' h] at hp
     simpa using Nat.find_min _ hp
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
 -/

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

@@ -315,11 +315,11 @@ def coeff (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) : E :=
 #align formal_multilinear_series.coeff FormalMultilinearSeries.coeff
 -/
 
-#print FormalMultilinearSeries.mkPiField_coeff_eq /-
-theorem mkPiField_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
-    ContinuousMultilinearMap.mkPiField 𝕜 (Fin n) (p.coeff n) = p n :=
-  (p n).mkPiField_apply_one_eq_self
-#align formal_multilinear_series.mk_pi_field_coeff_eq FormalMultilinearSeries.mkPiField_coeff_eq
+#print FormalMultilinearSeries.mkPiRing_coeff_eq /-
+theorem mkPiRing_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
+    ContinuousMultilinearMap.mkPiRing 𝕜 (Fin n) (p.coeff n) = p n :=
+  (p n).mkPiRing_apply_one_eq_self
+#align formal_multilinear_series.mk_pi_field_coeff_eq FormalMultilinearSeries.mkPiRing_coeff_eq
 -/
 
 #print FormalMultilinearSeries.apply_eq_prod_smul_coeff /-
@@ -333,7 +333,7 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
 
 #print FormalMultilinearSeries.coeff_eq_zero /-
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
-  rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
+  rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiRing_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 -/
 
@@ -346,7 +346,7 @@ theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by s
 #print FormalMultilinearSeries.norm_apply_eq_norm_coef /-
 @[simp]
 theorem norm_apply_eq_norm_coef : ‖p n‖ = ‖coeff p n‖ := by
-  rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.norm_mkPiField]
+  rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.norm_mkPiRing]
 #align formal_multilinear_series.norm_apply_eq_norm_coef FormalMultilinearSeries.norm_apply_eq_norm_coef
 -/
 

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

@@ -260,7 +260,10 @@ theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
 -/
 
 #print FormalMultilinearSeries.order_eq_zero_iff /-
-theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by classical
+theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
+  classical
+  have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
+  simp [order_eq_find this, hp]
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 -/
 
@@ -271,7 +274,10 @@ theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
 -/
 
 #print FormalMultilinearSeries.apply_order_ne_zero /-
-theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by classical
+theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
+  classical
+  let h := formal_multilinear_series.ne_iff.mp hp
+  exact (order_eq_find h).symm ▸ Nat.find_spec h
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 -/
 
@@ -286,7 +292,10 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
   by_cases p = 0
   · simp [h]
-  · classical
+  ·
+    classical
+    rw [order_eq_find' h] at hp 
+    simpa using Nat.find_min _ hp
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
 -/
 

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

@@ -260,10 +260,7 @@ theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
 -/
 
 #print FormalMultilinearSeries.order_eq_zero_iff /-
-theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
-  classical
-  have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
-  simp [order_eq_find this, hp]
+theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by classical
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 -/
 
@@ -274,10 +271,7 @@ theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
 -/
 
 #print FormalMultilinearSeries.apply_order_ne_zero /-
-theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
-  classical
-  let h := formal_multilinear_series.ne_iff.mp hp
-  exact (order_eq_find h).symm ▸ Nat.find_spec h
+theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by classical
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 -/
 
@@ -292,10 +286,7 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
   by_cases p = 0
   · simp [h]
-  ·
-    classical
-    rw [order_eq_find' h] at hp 
-    simpa using Nat.find_min _ hp
+  · classical
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
 -/
 

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

@@ -3,7 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Analysis.NormedSpace.Multilinear
+import Analysis.NormedSpace.Multilinear
 
 #align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 

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

@@ -2,14 +2,11 @@
 Copyright (c) 2019 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 analysis.calculus.formal_multilinear_series
-! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Multilinear
 
+#align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
+
 /-!
 # Formal multilinear series
 

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

@@ -96,10 +96,12 @@ def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries
 #align formal_multilinear_series.remove_zero FormalMultilinearSeries.removeZero
 -/
 
+#print FormalMultilinearSeries.removeZero_coeff_zero /-
 @[simp]
 theorem removeZero_coeff_zero (p : FormalMultilinearSeries 𝕜 E F) : p.removeZero 0 = 0 :=
   rfl
 #align formal_multilinear_series.remove_zero_coeff_zero FormalMultilinearSeries.removeZero_coeff_zero
+-/
 
 #print FormalMultilinearSeries.removeZero_coeff_succ /-
 @[simp]
@@ -132,11 +134,13 @@ def compContinuousLinearMap (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[
 #align formal_multilinear_series.comp_continuous_linear_map FormalMultilinearSeries.compContinuousLinearMap
 -/
 
+#print FormalMultilinearSeries.compContinuousLinearMap_apply /-
 @[simp]
 theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) (n : ℕ)
     (v : Fin n → E) : (p.compContinuousLinearMap u) n v = p n (u ∘ v) :=
   rfl
 #align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_apply
+-/
 
 variable (𝕜) [CommRing 𝕜'] [SMul 𝕜 𝕜']
 
@@ -207,10 +211,12 @@ theorem compFormalMultilinearSeries_apply (f : F →L[𝕜] G) (p : FormalMultil
 #align continuous_linear_map.comp_formal_multilinear_series_apply ContinuousLinearMap.compFormalMultilinearSeries_apply
 -/
 
+#print ContinuousLinearMap.compFormalMultilinearSeries_apply' /-
 theorem compFormalMultilinearSeries_apply' (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F)
     (n : ℕ) (v : Fin n → E) : (f.compFormalMultilinearSeries p) n v = f (p n v) :=
   rfl
 #align continuous_linear_map.comp_formal_multilinear_series_apply' ContinuousLinearMap.compFormalMultilinearSeries_apply'
+-/
 
 end ContinuousLinearMap
 
@@ -232,42 +238,59 @@ noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
 #align formal_multilinear_series.order FormalMultilinearSeries.order
 -/
 
+#print FormalMultilinearSeries.order_zero /-
 @[simp]
 theorem order_zero : (0 : FormalMultilinearSeries 𝕜 E F).order = 0 := by simp [order]
 #align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zero
+-/
 
+#print FormalMultilinearSeries.ne_zero_of_order_ne_zero /-
 theorem ne_zero_of_order_ne_zero (hp : p.order ≠ 0) : p ≠ 0 := fun h => by simpa [h] using hp
 #align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zero
+-/
 
+#print FormalMultilinearSeries.order_eq_find /-
 theorem order_eq_find [DecidablePred fun n => p n ≠ 0] (hp : ∃ n, p n ≠ 0) :
     p.order = Nat.find hp := by simp [order, Inf, hp]
 #align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_find
+-/
 
+#print FormalMultilinearSeries.order_eq_find' /-
 theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
     p.order = Nat.find (FormalMultilinearSeries.ne_iff.mp hp) :=
   order_eq_find _
 #align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'
+-/
 
+#print FormalMultilinearSeries.order_eq_zero_iff /-
 theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
   classical
   have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
   simp [order_eq_find this, hp]
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
+-/
 
+#print FormalMultilinearSeries.order_eq_zero_iff' /-
 theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
   by_cases h : p = 0 <;> simp [h, order_eq_zero_iff]
 #align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'
+-/
 
+#print FormalMultilinearSeries.apply_order_ne_zero /-
 theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
   classical
   let h := formal_multilinear_series.ne_iff.mp hp
   exact (order_eq_find h).symm ▸ Nat.find_spec h
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
+-/
 
+#print FormalMultilinearSeries.apply_order_ne_zero' /-
 theorem apply_order_ne_zero' (hp : p.order ≠ 0) : p p.order ≠ 0 :=
   apply_order_ne_zero (ne_zero_of_order_ne_zero hp)
 #align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'
+-/
 
+#print FormalMultilinearSeries.apply_eq_zero_of_lt_order /-
 theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
   by_cases p = 0
@@ -277,6 +300,7 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
     rw [order_eq_find' h] at hp 
     simpa using Nat.find_min _ hp
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
+-/
 
 end Order
 
@@ -310,13 +334,17 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 -/
 
+#print FormalMultilinearSeries.coeff_eq_zero /-
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
+-/
 
+#print FormalMultilinearSeries.apply_eq_pow_smul_coeff /-
 @[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
 #align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeff
+-/
 
 #print FormalMultilinearSeries.norm_apply_eq_norm_coef /-
 @[simp]
@@ -378,12 +406,14 @@ def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜]
 #align const_formal_multilinear_series constFormalMultilinearSeries
 -/
 
+#print constFormalMultilinearSeries_apply /-
 @[simp]
 theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
     [NormedAddCommGroup F] [NormedSpace 𝕜 E] [NormedSpace 𝕜 F] {c : F} {n : ℕ} (hn : n ≠ 0) :
     constFormalMultilinearSeries 𝕜 E c n = 0 :=
   Nat.casesOn n (fun hn => (hn rfl).elim) (fun _ _ => rfl) hn
 #align const_formal_multilinear_series_apply constFormalMultilinearSeries_apply
+-/
 
 end Const
 

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

@@ -228,7 +228,7 @@ variable [CommRing 𝕜] {n : ℕ} [AddCommGroup E] [Module 𝕜 E] [Topological
   is the order of the isolated zero of an analytic function `f` at a point if `p` is the Taylor
   series of `f` at that point. -/
 noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
-  sInf { n | p n ≠ 0 }
+  sInf {n | p n ≠ 0}
 #align formal_multilinear_series.order FormalMultilinearSeries.order
 -/
 
@@ -250,8 +250,8 @@ theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
 
 theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
   classical
-    have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
-    simp [order_eq_find this, hp]
+  have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
+  simp [order_eq_find this, hp]
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 
 theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
@@ -260,8 +260,8 @@ theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
 
 theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
   classical
-    let h := formal_multilinear_series.ne_iff.mp hp
-    exact (order_eq_find h).symm ▸ Nat.find_spec h
+  let h := formal_multilinear_series.ne_iff.mp hp
+  exact (order_eq_find h).symm ▸ Nat.find_spec h
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 
 theorem apply_order_ne_zero' (hp : p.order ≠ 0) : p p.order ≠ 0 :=
@@ -274,8 +274,8 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   · simp [h]
   ·
     classical
-      rw [order_eq_find' h] at hp 
-      simpa using Nat.find_min _ hp
+    rw [order_eq_find' h] at hp 
+    simpa using Nat.find_min _ hp
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
 
 end Order
@@ -305,7 +305,7 @@ theorem mkPiField_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
 @[simp]
 theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
   by
-  convert(p n).toMultilinearMap.map_smul_univ y 1
+  convert (p n).toMultilinearMap.map_smul_univ y 1
   funext <;> simp only [Pi.one_apply, Algebra.id.smul_eq_mul, mul_one]
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 -/

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

@@ -54,7 +54,8 @@ def FormalMultilinearSeries (𝕜 : Type _) (E : Type _) (F : Type _) [Ring 𝕜
     [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     [AddCommGroup F] [Module 𝕜 F] [TopologicalSpace F] [TopologicalAddGroup F]
     [ContinuousConstSMul 𝕜 F] :=
-  ∀ n : ℕ, E[×n]→L[𝕜] F deriving AddCommGroup
+  ∀ n : ℕ, E[×n]→L[𝕜] F
+deriving AddCommGroup
 #align formal_multilinear_series FormalMultilinearSeries
 -/
 
@@ -273,7 +274,7 @@ theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   · simp [h]
   ·
     classical
-      rw [order_eq_find' h] at hp
+      rw [order_eq_find' h] at hp 
       simpa using Nat.find_min _ hp
 #align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_order
 
@@ -351,7 +352,10 @@ theorem coeff_fslope : p.fslope.coeff n = p.coeff (n + 1) :=
 #print FormalMultilinearSeries.coeff_iterate_fslope /-
 @[simp]
 theorem coeff_iterate_fslope (k n : ℕ) : ((fslope^[k]) p).coeff n = p.coeff (n + k) := by
-  induction' k with k ih generalizing p <;> first |rfl|simpa [ih]
+  induction' k with k ih generalizing p <;>
+    first
+    | rfl
+    | simpa [ih]
 #align formal_multilinear_series.coeff_iterate_fslope FormalMultilinearSeries.coeff_iterate_fslope
 -/
 

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

@@ -35,7 +35,7 @@ noncomputable section
 
 open Set Fin
 
-open Topology
+open scoped Topology
 
 variable {𝕜 𝕜' E F G : Type _}
 
@@ -284,7 +284,7 @@ section Coef
 variable [NontriviallyNormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜 E] {s : E}
   {p : FormalMultilinearSeries 𝕜 𝕜 E} {f : 𝕜 → E} {n : ℕ} {z z₀ : 𝕜} {y : Fin n → 𝕜}
 
-open BigOperators
+open scoped BigOperators
 
 #print FormalMultilinearSeries.coeff /-
 /-- The `n`th coefficient of `p` when seen as a power series. -/

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

@@ -95,9 +95,6 @@ def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries
 #align formal_multilinear_series.remove_zero FormalMultilinearSeries.removeZero
 -/
 
-/- warning: formal_multilinear_series.remove_zero_coeff_zero -> FormalMultilinearSeries.removeZero_coeff_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.remove_zero_coeff_zero FormalMultilinearSeries.removeZero_coeff_zeroₓ'. -/
 @[simp]
 theorem removeZero_coeff_zero (p : FormalMultilinearSeries 𝕜 E F) : p.removeZero 0 = 0 :=
   rfl
@@ -134,9 +131,6 @@ def compContinuousLinearMap (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[
 #align formal_multilinear_series.comp_continuous_linear_map FormalMultilinearSeries.compContinuousLinearMap
 -/
 
-/- warning: formal_multilinear_series.comp_continuous_linear_map_apply -> FormalMultilinearSeries.compContinuousLinearMap_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_applyₓ'. -/
 @[simp]
 theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) (n : ℕ)
     (v : Fin n → E) : (p.compContinuousLinearMap u) n v = p n (u ∘ v) :=
@@ -212,9 +206,6 @@ theorem compFormalMultilinearSeries_apply (f : F →L[𝕜] G) (p : FormalMultil
 #align continuous_linear_map.comp_formal_multilinear_series_apply ContinuousLinearMap.compFormalMultilinearSeries_apply
 -/
 
-/- warning: continuous_linear_map.comp_formal_multilinear_series_apply' -> ContinuousLinearMap.compFormalMultilinearSeries_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.comp_formal_multilinear_series_apply' ContinuousLinearMap.compFormalMultilinearSeries_apply'ₓ'. -/
 theorem compFormalMultilinearSeries_apply' (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F)
     (n : ℕ) (v : Fin n → E) : (f.compFormalMultilinearSeries p) n v = f (p n v) :=
   rfl
@@ -240,69 +231,42 @@ noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
 #align formal_multilinear_series.order FormalMultilinearSeries.order
 -/
 
-/- warning: formal_multilinear_series.order_zero -> FormalMultilinearSeries.order_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zeroₓ'. -/
 @[simp]
 theorem order_zero : (0 : FormalMultilinearSeries 𝕜 E F).order = 0 := by simp [order]
 #align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zero
 
-/- warning: formal_multilinear_series.ne_zero_of_order_ne_zero -> FormalMultilinearSeries.ne_zero_of_order_ne_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zeroₓ'. -/
 theorem ne_zero_of_order_ne_zero (hp : p.order ≠ 0) : p ≠ 0 := fun h => by simpa [h] using hp
 #align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zero
 
-/- warning: formal_multilinear_series.order_eq_find -> FormalMultilinearSeries.order_eq_find is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_findₓ'. -/
 theorem order_eq_find [DecidablePred fun n => p n ≠ 0] (hp : ∃ n, p n ≠ 0) :
     p.order = Nat.find hp := by simp [order, Inf, hp]
 #align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_find
 
-/- warning: formal_multilinear_series.order_eq_find' -> FormalMultilinearSeries.order_eq_find' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'ₓ'. -/
 theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
     p.order = Nat.find (FormalMultilinearSeries.ne_iff.mp hp) :=
   order_eq_find _
 #align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'
 
-/- warning: formal_multilinear_series.order_eq_zero_iff -> FormalMultilinearSeries.order_eq_zero_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iffₓ'. -/
 theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
   classical
     have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
     simp [order_eq_find this, hp]
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 
-/- warning: formal_multilinear_series.order_eq_zero_iff' -> FormalMultilinearSeries.order_eq_zero_iff' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'ₓ'. -/
 theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
   by_cases h : p = 0 <;> simp [h, order_eq_zero_iff]
 #align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'
 
-/- warning: formal_multilinear_series.apply_order_ne_zero -> FormalMultilinearSeries.apply_order_ne_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zeroₓ'. -/
 theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
   classical
     let h := formal_multilinear_series.ne_iff.mp hp
     exact (order_eq_find h).symm ▸ Nat.find_spec h
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 
-/- warning: formal_multilinear_series.apply_order_ne_zero' -> FormalMultilinearSeries.apply_order_ne_zero' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'ₓ'. -/
 theorem apply_order_ne_zero' (hp : p.order ≠ 0) : p p.order ≠ 0 :=
   apply_order_ne_zero (ne_zero_of_order_ne_zero hp)
 #align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'
 
-/- warning: formal_multilinear_series.apply_eq_zero_of_lt_order -> FormalMultilinearSeries.apply_eq_zero_of_lt_order is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_orderₓ'. -/
 theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
   by_cases p = 0
@@ -345,16 +309,10 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 -/
 
-/- warning: formal_multilinear_series.coeff_eq_zero -> FormalMultilinearSeries.coeff_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zeroₓ'. -/
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 
-/- warning: formal_multilinear_series.apply_eq_pow_smul_coeff -> FormalMultilinearSeries.apply_eq_pow_smul_coeff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeffₓ'. -/
 @[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
 #align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeff
@@ -416,9 +374,6 @@ def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜]
 #align const_formal_multilinear_series constFormalMultilinearSeries
 -/
 
-/- warning: const_formal_multilinear_series_apply -> constFormalMultilinearSeries_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align const_formal_multilinear_series_apply constFormalMultilinearSeries_applyₓ'. -/
 @[simp]
 theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
     [NormedAddCommGroup F] [NormedSpace 𝕜 E] [NormedSpace 𝕜 F] {c : F} {n : ℕ} (hn : n ≠ 0) :

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

@@ -113,9 +113,7 @@ theorem removeZero_coeff_succ (p : FormalMultilinearSeries 𝕜 E F) (n : ℕ) :
 
 #print FormalMultilinearSeries.removeZero_of_pos /-
 theorem removeZero_of_pos (p : FormalMultilinearSeries 𝕜 E F) {n : ℕ} (h : 0 < n) :
-    p.removeZero n = p n := by
-  rw [← Nat.succ_pred_eq_of_pos h]
-  rfl
+    p.removeZero n = p n := by rw [← Nat.succ_pred_eq_of_pos h]; rfl
 #align formal_multilinear_series.remove_zero_of_pos FormalMultilinearSeries.removeZero_of_pos
 -/
 
@@ -124,10 +122,7 @@ theorem removeZero_of_pos (p : FormalMultilinearSeries 𝕜 E F) {n : ℕ} (h :
 multilinear series are equal, then the values are also equal. -/
 theorem congr (p : FormalMultilinearSeries 𝕜 E F) {m n : ℕ} {v : Fin m → E} {w : Fin n → E}
     (h1 : m = n) (h2 : ∀ (i : ℕ) (him : i < m) (hin : i < n), v ⟨i, him⟩ = w ⟨i, hin⟩) :
-    p m v = p n w := by
-  cases h1
-  congr with ⟨i, hi⟩
-  exact h2 i hi hi
+    p m v = p n w := by cases h1; congr with ⟨i, hi⟩; exact h2 i hi hi
 #align formal_multilinear_series.congr FormalMultilinearSeries.congr
 -/
 

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

@@ -96,10 +96,7 @@ def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries
 -/
 
 /- warning: formal_multilinear_series.remove_zero_coeff_zero -> FormalMultilinearSeries.removeZero_coeff_zero is a dubious translation:
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_inst_9) (FormalMultilinearSeries.removeZero.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin 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(i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.remove_zero_coeff_zero FormalMultilinearSeries.removeZero_coeff_zeroₓ'. -/
 @[simp]
 theorem removeZero_coeff_zero (p : FormalMultilinearSeries 𝕜 E F) : p.removeZero 0 = 0 :=
@@ -143,10 +140,7 @@ def compContinuousLinearMap (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[
 -/
 
 /- warning: formal_multilinear_series.comp_continuous_linear_map_apply -> FormalMultilinearSeries.compContinuousLinearMap_apply is a dubious translation:
-lean 3 declaration is
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) 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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toSMul.{u1, u4} 𝕜 G (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (SMulWithZero.toSMulZeroClass.{u1, u4} 𝕜 G (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_13))))] (p : FormalMultilinearSeries.{u1, u3, u4} 𝕜 F G (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16) (u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) (n : Nat) (v : (Fin n) -> E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => G) v) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (ContinuousMultilinearMap.{u1, 0, u2, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_13 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_14) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (fun (_x : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => G) _x) (ContinuousMapClass.toFunLike.{max u2 u4, u2, u4} (ContinuousMultilinearMap.{u1, 0, u2, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_13 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_14) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) G (Pi.topologicalSpace.{0, u2} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (fun (a : Fin n) => (fun (i : Fin n) => _inst_4) a)) _inst_14 (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u2, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_13 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_14)) (FormalMultilinearSeries.compContinuousLinearMap.{u1, u2, u3, u4} 𝕜 E F G _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 p u n) v) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousMultilinearMap.{u1, 0, u3, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => F) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => F) i) _inst_7) i) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => (fun (i : Fin n) => _inst_8) i) _inst_13 (fun (i : Fin n) => (fun (i : Fin n) => _inst_9) i) 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(AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) E F _inst_4 _inst_9 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8))) u) v))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_applyₓ'. -/
 @[simp]
 theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) (n : ℕ)
@@ -224,10 +218,7 @@ theorem compFormalMultilinearSeries_apply (f : F →L[𝕜] G) (p : FormalMultil
 -/
 
 /- warning: continuous_linear_map.comp_formal_multilinear_series_apply' -> ContinuousLinearMap.compFormalMultilinearSeries_apply' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) 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(SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toSMul.{u1, u4} 𝕜 G (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (SMulWithZero.toSMulZeroClass.{u1, u4} 𝕜 G (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.comp_formal_multilinear_series_apply' ContinuousLinearMap.compFormalMultilinearSeries_apply'ₓ'. -/
 theorem compFormalMultilinearSeries_apply' (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F)
     (n : ℕ) (v : Fin n → E) : (f.compFormalMultilinearSeries p) n v = f (p n v) :=
@@ -255,39 +246,27 @@ noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
 -/
 
 /- warning: formal_multilinear_series.order_zero -> FormalMultilinearSeries.order_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zeroₓ'. -/
 @[simp]
 theorem order_zero : (0 : FormalMultilinearSeries 𝕜 E F).order = 0 := by simp [order]
 #align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zero
 
 /- warning: formal_multilinear_series.ne_zero_of_order_ne_zero -> FormalMultilinearSeries.ne_zero_of_order_ne_zero is a dubious translation:
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_inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) 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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Ne.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 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(AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zeroₓ'. -/
 theorem ne_zero_of_order_ne_zero (hp : p.order ≠ 0) : p ≠ 0 := fun h => by simpa [h] using hp
 #align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zero
 
 /- warning: formal_multilinear_series.order_eq_find -> FormalMultilinearSeries.order_eq_find is a dubious translation:
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_inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) 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(SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))] (hp : Exists.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))), Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (Nat.find (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9)))) (fun (a : Nat) => _inst_12 a) hp)
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_findₓ'. -/
 theorem order_eq_find [DecidablePred fun n => p n ≠ 0] (hp : ∃ n, p n ≠ 0) :
     p.order = Nat.find hp := by simp [order, Inf, hp]
 #align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_find
 
 /- warning: formal_multilinear_series.order_eq_find' -> FormalMultilinearSeries.order_eq_find' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => 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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F 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+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'ₓ'. -/
 theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
     p.order = Nat.find (FormalMultilinearSeries.ne_iff.mp hp) :=
@@ -295,10 +274,7 @@ theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
 #align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'
 
 /- warning: formal_multilinear_series.order_eq_zero_iff -> FormalMultilinearSeries.order_eq_zero_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iffₓ'. -/
 theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
   classical
@@ -307,20 +283,14 @@ theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 
 /- warning: formal_multilinear_series.order_eq_zero_iff' -> FormalMultilinearSeries.order_eq_zero_iff' is a dubious translation:
-lean 3 declaration is
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_inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, Iff (Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (Or (Eq.{max 1 (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (OfNat.mk.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 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(FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))) (Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_4) _inst_9) (p (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, Iff (Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (Or (Eq.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 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(instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'ₓ'. -/
 theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
   by_cases h : p = 0 <;> simp [h, order_eq_zero_iff]
 #align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'
 
 /- warning: formal_multilinear_series.apply_order_ne_zero -> FormalMultilinearSeries.apply_order_ne_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zeroₓ'. -/
 theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
   classical
@@ -329,20 +299,14 @@ theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 
 /- warning: formal_multilinear_series.apply_order_ne_zero' -> FormalMultilinearSeries.apply_order_ne_zero' is a dubious translation:
-lean 3 declaration is
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_inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) 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(SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F 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_inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin 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_inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'ₓ'. -/
 theorem apply_order_ne_zero' (hp : p.order ≠ 0) : p p.order ≠ 0 :=
   apply_order_ne_zero (ne_zero_of_order_ne_zero hp)
 #align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'
 
 /- warning: formal_multilinear_series.apply_eq_zero_of_lt_order -> FormalMultilinearSeries.apply_eq_zero_of_lt_order is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] {n : Nat} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (LT.lt.{0} Nat Nat.hasLt n (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] {n : Nat} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (LT.lt.{0} Nat instLTNat n (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_orderₓ'. -/
 theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
@@ -387,20 +351,14 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
 -/
 
 /- warning: formal_multilinear_series.coeff_eq_zero -> FormalMultilinearSeries.coeff_eq_zero is a dubious translation:
-lean 3 declaration is
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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Eq.{max 1 (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (OfNat.mk.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.zero.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) (Eq.{max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.toOfNat0.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zeroₓ'. -/
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 
 /- warning: formal_multilinear_series.apply_eq_pow_smul_coeff -> FormalMultilinearSeries.apply_eq_pow_smul_coeff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} E (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (fun (_x : ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) => ((Fin n) -> 𝕜) -> E) (ContinuousMultilinearMap.hasCoeToFun.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (fun (_x : Fin n) => z)) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E 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(NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) E (Pi.topologicalSpace.{0, u1} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (fun (a : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) a)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u1, u2} 𝕜 (Fin n) (fun 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (p n) (fun (_x : Fin n) => z)) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
+<too large>
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeffₓ'. -/
 @[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
@@ -464,10 +422,7 @@ def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜]
 -/
 
 /- warning: const_formal_multilinear_series_apply -> constFormalMultilinearSeries_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (SeminormedAddGroup.toAddGroup.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align const_formal_multilinear_series_apply constFormalMultilinearSeries_applyₓ'. -/
 @[simp]
 theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.calculus.formal_multilinear_series
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Analysis.NormedSpace.Multilinear
 /-!
 # Formal multilinear series
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define `formal_multilinear_series 𝕜 E F` to be a family of `n`-multilinear maps for
 all `n`, designed to model the sequence of derivatives of a function. In other files we use this
 notion to define `C^n` functions (called `cont_diff` in `mathlib`) and analytic functions.

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

@@ -385,9 +385,9 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
 
 /- warning: formal_multilinear_series.coeff_eq_zero -> FormalMultilinearSeries.coeff_eq_zero is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Eq.{max 1 (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (OfNat.mk.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.zero.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Eq.{max 1 (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (OfNat.mk.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.zero.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) (Eq.{max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.toOfNat0.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) (Eq.{max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.toOfNat0.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zeroₓ'. -/
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
@@ -395,9 +395,9 @@ theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
 
 /- warning: formal_multilinear_series.apply_eq_pow_smul_coeff -> FormalMultilinearSeries.apply_eq_pow_smul_coeff is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} E (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (fun (_x : ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 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_inst_2))))) => ((Fin n) -> 𝕜) -> E) (ContinuousMultilinearMap.hasCoeToFun.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (fun (_x : Fin n) => z)) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} E (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (fun (_x : ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) => ((Fin n) -> 𝕜) -> E) (ContinuousMultilinearMap.hasCoeToFun.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (fun (_x : Fin n) => z)) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E 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_inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) => E) (fun (x._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.4261 : Fin n) => z)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) E (Pi.topologicalSpace.{0, u1} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (fun (a : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) a)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (p n) (fun (_x : Fin n) => z)) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} 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𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) => E) (fun (x._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.4261 : Fin n) => z)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) E (Pi.topologicalSpace.{0, u1} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (fun (a : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) a)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u1, u2} 𝕜 (Fin n) (fun 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (p n) (fun (_x : Fin n) => z)) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
 Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeffₓ'. -/
 @[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
@@ -462,9 +462,9 @@ def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜]
 
 /- warning: const_formal_multilinear_series_apply -> constFormalMultilinearSeries_apply is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (SeminormedAddGroup.toAddGroup.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (SeminormedAddGroup.toAddGroup.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))))
 Case conversion may be inaccurate. Consider using '#align const_formal_multilinear_series_apply constFormalMultilinearSeries_applyₓ'. -/
 @[simp]
 theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]

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

@@ -43,6 +43,7 @@ variable [CommRing 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [
   [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F] [AddCommGroup G] [Module 𝕜 G]
   [TopologicalSpace G] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜 G]
 
+#print FormalMultilinearSeries /-
 /-- A formal multilinear series over a field `𝕜`, from `E` to `F`, is given by a family of
 multilinear maps from `E^n` to `F` for all `n`. -/
 @[nolint unused_arguments]
@@ -52,6 +53,7 @@ def FormalMultilinearSeries (𝕜 : Type _) (E : Type _) (F : Type _) [Ring 𝕜
     [ContinuousConstSMul 𝕜 F] :=
   ∀ n : ℕ, E[×n]→L[𝕜] F deriving AddCommGroup
 #align formal_multilinear_series FormalMultilinearSeries
+-/
 
 instance : Inhabited (FormalMultilinearSeries 𝕜 E F) :=
   ⟨0⟩
@@ -70,37 +72,54 @@ end Module
 
 namespace FormalMultilinearSeries
 
+#print FormalMultilinearSeries.ext_iff /-
 protected theorem ext_iff {p q : FormalMultilinearSeries 𝕜 E F} : p = q ↔ ∀ n, p n = q n :=
   Function.funext_iff
 #align formal_multilinear_series.ext_iff FormalMultilinearSeries.ext_iff
+-/
 
+#print FormalMultilinearSeries.ne_iff /-
 protected theorem ne_iff {p q : FormalMultilinearSeries 𝕜 E F} : p ≠ q ↔ ∃ n, p n ≠ q n :=
   Function.ne_iff
 #align formal_multilinear_series.ne_iff FormalMultilinearSeries.ne_iff
+-/
 
+#print FormalMultilinearSeries.removeZero /-
 /-- Killing the zeroth coefficient in a formal multilinear series -/
 def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries 𝕜 E F
   | 0 => 0
   | n + 1 => p (n + 1)
 #align formal_multilinear_series.remove_zero FormalMultilinearSeries.removeZero
+-/
 
+/- warning: formal_multilinear_series.remove_zero_coeff_zero -> FormalMultilinearSeries.removeZero_coeff_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] (p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11), Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_4) _inst_9) (FormalMultilinearSeries.removeZero.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] (p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11), Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) (FormalMultilinearSeries.removeZero.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9)))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.remove_zero_coeff_zero FormalMultilinearSeries.removeZero_coeff_zeroₓ'. -/
 @[simp]
 theorem removeZero_coeff_zero (p : FormalMultilinearSeries 𝕜 E F) : p.removeZero 0 = 0 :=
   rfl
 #align formal_multilinear_series.remove_zero_coeff_zero FormalMultilinearSeries.removeZero_coeff_zero
 
+#print FormalMultilinearSeries.removeZero_coeff_succ /-
 @[simp]
 theorem removeZero_coeff_succ (p : FormalMultilinearSeries 𝕜 E F) (n : ℕ) :
     p.removeZero (n + 1) = p (n + 1) :=
   rfl
 #align formal_multilinear_series.remove_zero_coeff_succ FormalMultilinearSeries.removeZero_coeff_succ
+-/
 
+#print FormalMultilinearSeries.removeZero_of_pos /-
 theorem removeZero_of_pos (p : FormalMultilinearSeries 𝕜 E F) {n : ℕ} (h : 0 < n) :
     p.removeZero n = p n := by
   rw [← Nat.succ_pred_eq_of_pos h]
   rfl
 #align formal_multilinear_series.remove_zero_of_pos FormalMultilinearSeries.removeZero_of_pos
+-/
 
+#print FormalMultilinearSeries.congr /-
 /-- Convenience congruence lemma stating in a dependent setting that, if the arguments to a formal
 multilinear series are equal, then the values are also equal. -/
 theorem congr (p : FormalMultilinearSeries 𝕜 E F) {m n : ℕ} {v : Fin m → E} {w : Fin n → E}
@@ -110,13 +129,22 @@ theorem congr (p : FormalMultilinearSeries 𝕜 E F) {m n : ℕ} {v : Fin m →
   congr with ⟨i, hi⟩
   exact h2 i hi hi
 #align formal_multilinear_series.congr FormalMultilinearSeries.congr
+-/
 
+#print FormalMultilinearSeries.compContinuousLinearMap /-
 /-- Composing each term `pₙ` in a formal multilinear series with `(u, ..., u)` where `u` is a fixed
 continuous linear map, gives a new formal multilinear series `p.comp_continuous_linear_map u`. -/
 def compContinuousLinearMap (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) :
     FormalMultilinearSeries 𝕜 E G := fun n => (p n).compContinuousLinearMap fun i : Fin n => u
 #align formal_multilinear_series.comp_continuous_linear_map FormalMultilinearSeries.compContinuousLinearMap
+-/
 
+/- warning: formal_multilinear_series.comp_continuous_linear_map_apply -> FormalMultilinearSeries.compContinuousLinearMap_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_13))))] (p : FormalMultilinearSeries.{u1, u3, u4} 𝕜 F G (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16) (u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) (n : Nat) (v : (Fin n) -> E), Eq.{succ u4} G (coeFn.{max 1 (succ u2) (succ u4), max (succ u2) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => _inst_3) _inst_13 (fun (i : Fin n) => _inst_4) _inst_14) (FormalMultilinearSeries.compContinuousLinearMap.{u1, u2, u3, u4} 𝕜 E F G _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 p u n) v) (coeFn.{max 1 (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousMultilinearMap.{u1, 0, u3, u4} 𝕜 (Fin n) (fun (i : Fin n) => F) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i : Fin n) => F) i) _inst_7) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => _inst_8) _inst_13 (fun (i : Fin n) => _inst_9) _inst_14) (fun (_x : ContinuousMultilinearMap.{u1, 0, u3, u4} 𝕜 (Fin n) (fun (i : Fin n) => F) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i : Fin n) => F) i) _inst_7) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => _inst_8) _inst_13 (fun (i : Fin n) => _inst_9) _inst_14) => ((Fin n) -> F) -> G) (ContinuousMultilinearMap.hasCoeToFun.{u1, 0, u3, u4} 𝕜 (Fin n) (fun (i : Fin n) => F) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u3} ((fun (i : Fin n) => F) i) _inst_7) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) (fun (i : Fin n) => _inst_8) _inst_13 (fun (i : Fin n) => _inst_9) _inst_14) (p n) (Function.comp.{1, succ u2, succ u3} (Fin n) E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) u) v))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toSMul.{u1, u4} 𝕜 G (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (SMulWithZero.toSMulZeroClass.{u1, u4} 𝕜 G (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_13))))] (p : FormalMultilinearSeries.{u1, u3, u4} 𝕜 F G (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 _inst_16) (u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) E _inst_4 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_3 _inst_8) (n : Nat) (v : (Fin n) -> E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => G) v) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (ContinuousMultilinearMap.{u1, 0, u2, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => 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+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_applyₓ'. -/
 @[simp]
 theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) (n : ℕ)
     (v : Fin n → E) : (p.compContinuousLinearMap u) n v = p n (u ∘ v) :=
@@ -129,11 +157,13 @@ variable [Module 𝕜' E] [ContinuousConstSMul 𝕜' E] [IsScalarTower 𝕜 𝕜
 
 variable [Module 𝕜' F] [ContinuousConstSMul 𝕜' F] [IsScalarTower 𝕜 𝕜' F]
 
+#print FormalMultilinearSeries.restrictScalars /-
 /-- Reinterpret a formal `𝕜'`-multilinear series as a formal `𝕜`-multilinear series. -/
 @[simp]
 protected def restrictScalars (p : FormalMultilinearSeries 𝕜' E F) :
     FormalMultilinearSeries 𝕜 E F := fun n => (p n).restrictScalars 𝕜
 #align formal_multilinear_series.restrict_scalars FormalMultilinearSeries.restrictScalars
+-/
 
 end FormalMultilinearSeries
 
@@ -146,12 +176,15 @@ variable [NontriviallyNormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜
 
 variable (p : FormalMultilinearSeries 𝕜 E F)
 
+#print FormalMultilinearSeries.shift /-
 /-- Forgetting the zeroth term in a formal multilinear series, and interpreting the following terms
 as multilinear maps into `E →L[𝕜] F`. If `p` corresponds to the Taylor series of a function, then
 `p.shift` is the Taylor series of the derivative of the function. -/
 def shift : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F) := fun n => (p n.succ).curryRight
 #align formal_multilinear_series.shift FormalMultilinearSeries.shift
+-/
 
+#print FormalMultilinearSeries.unshift /-
 /-- Adding a zeroth term to a formal multilinear series taking values in `E →L[𝕜] F`. This
 corresponds to starting from a Taylor series for the derivative of a function, and building a Taylor
 series for the function itself. -/
@@ -159,6 +192,7 @@ def unshift (q : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F)) (z : F) : Form
   | 0 => (continuousMultilinearCurryFin0 𝕜 E F).symm z
   | n + 1 => continuousMultilinearCurryRightEquiv' 𝕜 n E F (q n)
 #align formal_multilinear_series.unshift FormalMultilinearSeries.unshift
+-/
 
 end FormalMultilinearSeries
 
@@ -169,19 +203,29 @@ variable [CommRing 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [
   [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F] [AddCommGroup G] [Module 𝕜 G]
   [TopologicalSpace G] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜 G]
 
+#print ContinuousLinearMap.compFormalMultilinearSeries /-
 /-- Composing each term `pₙ` in a formal multilinear series with a continuous linear map `f` on the
 left gives a new formal multilinear series `f.comp_formal_multilinear_series p` whose general term
 is `f ∘ pₙ`. -/
 def compFormalMultilinearSeries (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F) :
     FormalMultilinearSeries 𝕜 E G := fun n => f.compContinuousMultilinearMap (p n)
 #align continuous_linear_map.comp_formal_multilinear_series ContinuousLinearMap.compFormalMultilinearSeries
+-/
 
+#print ContinuousLinearMap.compFormalMultilinearSeries_apply /-
 @[simp]
 theorem compFormalMultilinearSeries_apply (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F)
     (n : ℕ) : (f.compFormalMultilinearSeries p) n = f.compContinuousMultilinearMap (p n) :=
   rfl
 #align continuous_linear_map.comp_formal_multilinear_series_apply ContinuousLinearMap.compFormalMultilinearSeries_apply
+-/
 
+/- warning: continuous_linear_map.comp_formal_multilinear_series_apply' -> ContinuousLinearMap.compFormalMultilinearSeries_apply' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F 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(CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) 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(Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) G _inst_14 (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13) => F -> G) (ContinuousLinearMap.toFun.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) G _inst_14 (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13) f (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) 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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] [_inst_12 : AddCommGroup.{u4} G] [_inst_13 : Module.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12)] [_inst_14 : TopologicalSpace.{u4} G] [_inst_15 : TopologicalAddGroup.{u4} G _inst_14 (AddCommGroup.toAddGroup.{u4} G _inst_12)] [_inst_16 : ContinuousConstSMul.{u1, u4} 𝕜 G _inst_14 (SMulZeroClass.toSMul.{u1, u4} 𝕜 G (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (SMulWithZero.toSMulZeroClass.{u1, u4} 𝕜 G (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u4} G (SubNegZeroMonoid.toNegZeroClass.{u4} G (SubtractionMonoid.toSubNegZeroMonoid.{u4} G (SubtractionCommMonoid.toSubtractionMonoid.{u4} G (AddCommGroup.toDivisionAddCommMonoid.{u4} G _inst_12))))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_13))))] (f : ContinuousLinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) G _inst_14 (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13) (p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (n : Nat) (v : (Fin n) -> E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => G) v) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (ContinuousMultilinearMap.{u1, 0, u2, u4} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) G (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun 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(AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13) 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) G _inst_14 (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13 (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u4} 𝕜 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)))) F _inst_9 (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) G _inst_14 (AddCommGroup.toAddCommMonoid.{u4} G _inst_12) _inst_8 _inst_13))) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_8 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_9) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (fun (_x : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u3, u2, u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_8 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_9) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) F (Pi.topologicalSpace.{0, u2} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (fun (a : Fin n) => (fun (i : Fin n) => _inst_4) a)) _inst_9 (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) i) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => (fun (i : Fin n) => _inst_3) i) _inst_8 (fun (i : Fin n) => (fun (i : Fin n) => _inst_4) i) _inst_9)) (p n) v))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.comp_formal_multilinear_series_apply' ContinuousLinearMap.compFormalMultilinearSeries_apply'ₓ'. -/
 theorem compFormalMultilinearSeries_apply' (f : F →L[𝕜] G) (p : FormalMultilinearSeries 𝕜 E F)
     (n : ℕ) (v : Fin n → E) : (f.compFormalMultilinearSeries p) n v = f (p n v) :=
   rfl
@@ -198,49 +242,105 @@ variable [CommRing 𝕜] {n : ℕ} [AddCommGroup E] [Module 𝕜 E] [Topological
   [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F]
   {p : FormalMultilinearSeries 𝕜 E F}
 
+#print FormalMultilinearSeries.order /-
 /-- The index of the first non-zero coefficient in `p` (or `0` if all coefficients are zero). This
   is the order of the isolated zero of an analytic function `f` at a point if `p` is the Taylor
   series of `f` at that point. -/
 noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
   sInf { n | p n ≠ 0 }
 #align formal_multilinear_series.order FormalMultilinearSeries.order
+-/
 
+/- warning: formal_multilinear_series.order_zero -> FormalMultilinearSeries.order_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))], Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (OfNat.mk.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddZeroClass.toHasZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddMonoid.toAddZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegMonoid.toAddMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddGroup.toSubNegMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toAddGroup.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))], Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zeroₓ'. -/
 @[simp]
 theorem order_zero : (0 : FormalMultilinearSeries 𝕜 E F).order = 0 := by simp [order]
 #align formal_multilinear_series.order_zero FormalMultilinearSeries.order_zero
 
+/- warning: formal_multilinear_series.ne_zero_of_order_ne_zero -> FormalMultilinearSeries.ne_zero_of_order_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Ne.{max 1 (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (OfNat.mk.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 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(FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Ne.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zeroₓ'. -/
 theorem ne_zero_of_order_ne_zero (hp : p.order ≠ 0) : p ≠ 0 := fun h => by simpa [h] using hp
 #align formal_multilinear_series.ne_zero_of_order_ne_zero FormalMultilinearSeries.ne_zero_of_order_ne_zero
 
+/- warning: formal_multilinear_series.order_eq_find -> FormalMultilinearSeries.order_eq_find is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => 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(ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9)))))), Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (Nat.find (fun (n : Nat) => Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))) (fun (a : Nat) => _inst_12 a) hp)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))] (hp : Exists.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))), Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (Nat.find (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9)))) (fun (a : Nat) => _inst_12 a) hp)
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_findₓ'. -/
 theorem order_eq_find [DecidablePred fun n => p n ≠ 0] (hp : ∃ n, p n ≠ 0) :
     p.order = Nat.find hp := by simp [order, Inf, hp]
 #align formal_multilinear_series.order_eq_find FormalMultilinearSeries.order_eq_find
 
+/- warning: formal_multilinear_series.order_eq_find' -> FormalMultilinearSeries.order_eq_find' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => 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_inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegMonoid.toAddMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddGroup.toSubNegMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toAddGroup.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))), Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) 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Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddZeroClass.toHasZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddMonoid.toAddZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegMonoid.toAddMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddGroup.toSubNegMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, 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_inst_10 _inst_11) 0 (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddZeroClass.toHasZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddMonoid.toAddZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegMonoid.toAddMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddGroup.toSubNegMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toAddGroup.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))) hp))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11} [_inst_12 : DecidablePred.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))] (hp : Ne.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))), Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (Nat.find (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 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_inst_11))))))))) (Exists.{1} Nat (fun (n : Nat) => Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 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_inst_11))))))) n))) (FormalMultilinearSeries.ne_iff.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))) hp))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'ₓ'. -/
 theorem order_eq_find' [DecidablePred fun n => p n ≠ 0] (hp : p ≠ 0) :
     p.order = Nat.find (FormalMultilinearSeries.ne_iff.mp hp) :=
   order_eq_find _
 #align formal_multilinear_series.order_eq_find' FormalMultilinearSeries.order_eq_find'
 
+/- warning: formal_multilinear_series.order_eq_zero_iff -> FormalMultilinearSeries.order_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{max 1 (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (OfNat.mk.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.zero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddZeroClass.toHasZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddMonoid.toAddZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegMonoid.toAddMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddGroup.toSubNegMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toAddGroup.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (FormalMultilinearSeries.addCommGroup.{u1, u3, u2} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)))))))))) -> (Iff (Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) => _inst_4) _inst_9) (p (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin (Zero.zero.{0} Nat Nat.hasZero)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_3) _inst_8 (fun (i : Fin (Zero.zero.{0} Nat Nat.hasZero)) => _inst_4) _inst_9))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubNegZeroMonoid.toNegZeroClass.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))) -> (Iff (Eq.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) (p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_3) _inst_8 (fun (i : Fin (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) => _inst_4) _inst_9)))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iffₓ'. -/
 theorem order_eq_zero_iff (hp : p ≠ 0) : p.order = 0 ↔ p 0 ≠ 0 := by
   classical
     have : ∃ n, p n ≠ 0 := formal_multilinear_series.ne_iff.mp hp
     simp [order_eq_find this, hp]
 #align formal_multilinear_series.order_eq_zero_iff FormalMultilinearSeries.order_eq_zero_iff
 
+/- warning: formal_multilinear_series.order_eq_zero_iff' -> FormalMultilinearSeries.order_eq_zero_iff' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) 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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : 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+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'ₓ'. -/
 theorem order_eq_zero_iff' : p.order = 0 ↔ p = 0 ∨ p 0 ≠ 0 := by
   by_cases h : p = 0 <;> simp [h, order_eq_zero_iff]
 #align formal_multilinear_series.order_eq_zero_iff' FormalMultilinearSeries.order_eq_zero_iff'
 
+/- warning: formal_multilinear_series.apply_order_ne_zero -> FormalMultilinearSeries.apply_order_ne_zero is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{max (succ u2) (succ u3)} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) p (OfNat.ofNat.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) 0 (Zero.toOfNat0.{max u2 u3} (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) (NegZeroClass.toZero.{max u2 u3} 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(instAddCommGroupFormalMultilinearSeriesToRing.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11))))))))) -> (Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) (p (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zeroₓ'. -/
 theorem apply_order_ne_zero (hp : p ≠ 0) : p p.order ≠ 0 := by
   classical
     let h := formal_multilinear_series.ne_iff.mp hp
     exact (order_eq_find h).symm ▸ Nat.find_spec h
 #align formal_multilinear_series.apply_order_ne_zero FormalMultilinearSeries.apply_order_ne_zero
 
+/- warning: formal_multilinear_series.apply_order_ne_zero' -> FormalMultilinearSeries.apply_order_ne_zero' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Ne.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 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_inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (Ne.{1} Nat (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Ne.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) (p (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin 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_inst_11 p)) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_3) _inst_8 (fun (i : Fin (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) => _inst_4) _inst_9))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'ₓ'. -/
 theorem apply_order_ne_zero' (hp : p.order ≠ 0) : p p.order ≠ 0 :=
   apply_order_ne_zero (ne_zero_of_order_ne_zero hp)
 #align formal_multilinear_series.apply_order_ne_zero' FormalMultilinearSeries.apply_order_ne_zero'
 
+/- warning: formal_multilinear_series.apply_eq_zero_of_lt_order -> FormalMultilinearSeries.apply_eq_zero_of_lt_order is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] {n : Nat} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (LT.lt.{0} Nat Nat.hasLt n (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : CommRing.{u1} 𝕜] {n : Nat} [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : TopologicalSpace.{u2} E] [_inst_5 : TopologicalAddGroup.{u2} E _inst_4 (AddCommGroup.toAddGroup.{u2} E _inst_2)] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_4 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))] [_inst_7 : AddCommGroup.{u3} F] [_inst_8 : Module.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7)] [_inst_9 : TopologicalSpace.{u3} F] [_inst_10 : TopologicalAddGroup.{u3} F _inst_9 (AddCommGroup.toAddGroup.{u3} F _inst_7)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜 F _inst_9 (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) _inst_8))))] {p : FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (CommRing.toRing.{u1} 𝕜 _inst_1) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11}, (LT.lt.{0} Nat instLTNat n (FormalMultilinearSeries.order.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 p)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (p n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 _inst_1)) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_7) (fun (i : Fin n) => _inst_3) _inst_8 (fun (i : Fin n) => _inst_4) _inst_9))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_zero_of_lt_order FormalMultilinearSeries.apply_eq_zero_of_lt_orderₓ'. -/
 theorem apply_eq_zero_of_lt_order (hp : n < p.order) : p n = 0 :=
   by
   by_cases p = 0
@@ -260,35 +360,55 @@ variable [NontriviallyNormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜
 
 open BigOperators
 
+#print FormalMultilinearSeries.coeff /-
 /-- The `n`th coefficient of `p` when seen as a power series. -/
 def coeff (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) : E :=
   p n 1
 #align formal_multilinear_series.coeff FormalMultilinearSeries.coeff
+-/
 
+#print FormalMultilinearSeries.mkPiField_coeff_eq /-
 theorem mkPiField_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
     ContinuousMultilinearMap.mkPiField 𝕜 (Fin n) (p.coeff n) = p n :=
   (p n).mkPiField_apply_one_eq_self
 #align formal_multilinear_series.mk_pi_field_coeff_eq FormalMultilinearSeries.mkPiField_coeff_eq
+-/
 
+#print FormalMultilinearSeries.apply_eq_prod_smul_coeff /-
 @[simp]
 theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
   by
   convert(p n).toMultilinearMap.map_smul_univ y 1
   funext <;> simp only [Pi.one_apply, Algebra.id.smul_eq_mul, mul_one]
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
+-/
 
+/- warning: formal_multilinear_series.coeff_eq_zero -> FormalMultilinearSeries.coeff_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (Eq.{max 1 (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (OfNat.mk.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.zero.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat}, Iff (Eq.{succ u2} E (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) (Eq.{max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (OfNat.ofNat.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) 0 (Zero.toOfNat0.{max u1 u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zeroₓ'. -/
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 
+/- warning: formal_multilinear_series.apply_eq_pow_smul_coeff -> FormalMultilinearSeries.apply_eq_pow_smul_coeff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toHasSmul.{u1, u1} 𝕜 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{u1, u1} 𝕜 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (semi_normed_ring_top_monoid.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} E (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (fun (_x : ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) => ((Fin n) -> 𝕜) -> E) (ContinuousMultilinearMap.hasCoeToFun.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (p n) (fun (_x : Fin n) => z)) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {p : FormalMultilinearSeries.{u1, u1, u2} 𝕜 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformContinuousConstSMul.to_continuousConstSMul.{u1, u1} 𝕜 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (SMulWithZero.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (MulActionWithZero.toSMulWithZero.{u1, u1} 𝕜 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} 𝕜 (SubNegZeroMonoid.toNegZeroClass.{u1} 𝕜 (SubtractionMonoid.toSubNegZeroMonoid.{u1} 𝕜 (SubtractionCommMonoid.toSubtractionMonoid.{u1} 𝕜 (AddCommGroup.toDivisionAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))))) (Module.toMulActionWithZero.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Ring.uniformContinuousConstSMul.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SeminormedAddCommGroup.to_uniformAddGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousMul.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalRing.toTopologicalSemiring.{u1} 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (TopologicalDivisionRing.toTopologicalRing.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedDivisionRing.to_topologicalDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))} {n : Nat} {z : 𝕜}, Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) => E) (fun (x._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.4261 : Fin n) => z)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (fun (_x : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) => E) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousMultilinearMap.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (forall (i : Fin n), (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) E (Pi.topologicalSpace.{0, u1} (Fin n) (fun (i : Fin n) => (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (fun (a : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) a)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousMultilinearMap.continuousMapClass.{u1, 0, u1, u2} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => 𝕜) i) (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (fun (i : Fin n) => (fun (i : Fin n) => NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) i) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (fun (i : Fin n) => (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) i) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (p n) (fun (_x : Fin n) => z)) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))))) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) z n) (FormalMultilinearSeries.coeff.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p n))
+Case conversion may be inaccurate. Consider using '#align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeffₓ'. -/
 @[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
 #align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeff
 
+#print FormalMultilinearSeries.norm_apply_eq_norm_coef /-
 @[simp]
 theorem norm_apply_eq_norm_coef : ‖p n‖ = ‖coeff p n‖ := by
   rw [← mk_pi_field_coeff_eq p, ContinuousMultilinearMap.norm_mkPiField]
 #align formal_multilinear_series.norm_apply_eq_norm_coef FormalMultilinearSeries.norm_apply_eq_norm_coef
+-/
 
 end Coef
 
@@ -297,23 +417,29 @@ section Fslope
 variable [NontriviallyNormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜 E]
   {p : FormalMultilinearSeries 𝕜 𝕜 E} {n : ℕ}
 
+#print FormalMultilinearSeries.fslope /-
 /-- The formal counterpart of `dslope`, corresponding to the expansion of `(f z - f 0) / z`. If `f`
 has `p` as a power series, then `dslope f` has `fslope p` as a power series. -/
 noncomputable def fslope (p : FormalMultilinearSeries 𝕜 𝕜 E) : FormalMultilinearSeries 𝕜 𝕜 E :=
   fun n => (p (n + 1)).curryLeft 1
 #align formal_multilinear_series.fslope FormalMultilinearSeries.fslope
+-/
 
+#print FormalMultilinearSeries.coeff_fslope /-
 @[simp]
 theorem coeff_fslope : p.fslope.coeff n = p.coeff (n + 1) :=
   by
   have : @Fin.cons n (fun _ => 𝕜) 1 (1 : Fin n → 𝕜) = 1 := Fin.cons_self_tail 1
   simp only [fslope, coeff, ContinuousMultilinearMap.curryLeft_apply, this]
 #align formal_multilinear_series.coeff_fslope FormalMultilinearSeries.coeff_fslope
+-/
 
+#print FormalMultilinearSeries.coeff_iterate_fslope /-
 @[simp]
 theorem coeff_iterate_fslope (k n : ℕ) : ((fslope^[k]) p).coeff n = p.coeff (n + k) := by
   induction' k with k ih generalizing p <;> first |rfl|simpa [ih]
 #align formal_multilinear_series.coeff_iterate_fslope FormalMultilinearSeries.coeff_iterate_fslope
+-/
 
 end Fslope
 
@@ -321,6 +447,7 @@ end FormalMultilinearSeries
 
 section Const
 
+#print constFormalMultilinearSeries /-
 /-- The formal multilinear series where all terms of positive degree are equal to zero, and the term
 of degree zero is `c`. It is the power series expansion of the constant function equal to `c`
 everywhere. -/
@@ -331,7 +458,14 @@ def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜]
   | 0 => ContinuousMultilinearMap.curry0 _ _ c
   | _ => 0
 #align const_formal_multilinear_series constFormalMultilinearSeries
+-/
 
+/- warning: const_formal_multilinear_series_apply -> constFormalMultilinearSeries_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Eq.{max 1 (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) 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_inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F 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(SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (OfNat.mk.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.zero.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.hasZero.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] {c : F} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Eq.{max (succ u2) (succ u3)} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (constFormalMultilinearSeries.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_4 (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) F _inst_3 (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) _inst_5 (ContinuousSMul.continuousConstSMul.{u1, u3} 𝕜 F (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (BoundedSMul.continuousSMul.{u1, u3} 𝕜 F (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulZeroClass.toSMul.{u1, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))))) (NormedSpace.boundedSMul.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5))) c n) (OfNat.ofNat.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) 0 (Zero.toOfNat0.{max u2 u3} (ContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))) (ContinuousMultilinearMap.instZeroContinuousMultilinearMap.{u1, 0, u2, u3} 𝕜 (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (fun (i : Fin n) => AddCommGroup.toAddCommMonoid.{u2} ((fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries._hyg.203 : Fin n) => E) i) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (fun (i : Fin n) => NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_5) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3))))))))
+Case conversion may be inaccurate. Consider using '#align const_formal_multilinear_series_apply constFormalMultilinearSeries_applyₓ'. -/
 @[simp]
 theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
     [NormedAddCommGroup F] [NormedSpace 𝕜 E] [NormedSpace 𝕜 F] {c : F} {n : ℕ} (hn : n ≠ 0) :

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

@@ -202,7 +202,7 @@ variable [CommRing 𝕜] {n : ℕ} [AddCommGroup E] [Module 𝕜 E] [Topological
   is the order of the isolated zero of an analytic function `f` at a point if `p` is the Taylor
   series of `f` at that point. -/
 noncomputable def order (p : FormalMultilinearSeries 𝕜 E F) : ℕ :=
-  infₛ { n | p n ≠ 0 }
+  sInf { n | p n ≠ 0 }
 #align formal_multilinear_series.order FormalMultilinearSeries.order
 
 @[simp]

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

@@ -273,7 +273,7 @@ theorem mkPiField_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
 @[simp]
 theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n :=
   by
-  convert (p n).toMultilinearMap.map_smul_univ y 1
+  convert(p n).toMultilinearMap.map_smul_univ y 1
   funext <;> simp only [Pi.one_apply, Algebra.id.smul_eq_mul, mul_one]
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 

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

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)

@@ -137,9 +137,7 @@ theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u
 #align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_apply
 
 variable (𝕜) [Ring 𝕜'] [SMul 𝕜 𝕜']
-
 variable [Module 𝕜' E] [ContinuousConstSMul 𝕜' E] [IsScalarTower 𝕜 𝕜' E]
-
 variable [Module 𝕜' F] [ContinuousConstSMul 𝕜' F] [IsScalarTower 𝕜 𝕜' F]
 
 /-- Reinterpret a formal `𝕜'`-multilinear series as a formal `𝕜`-multilinear series. -/

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

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

@@ -67,13 +67,13 @@ end Module
 
 namespace FormalMultilinearSeries
 
-@[simp] -- Porting note: new; was not needed in Lean 3
+@[simp] -- Porting note (#10756): new theorem; was not needed in Lean 3
 theorem zero_apply (n : ℕ) : (0 : FormalMultilinearSeries 𝕜 E F) n = 0 := rfl
 
-@[simp] -- Porting note: new; was not needed in Lean 3
+@[simp] -- Porting note (#10756): new theorem; was not needed in Lean 3
 theorem neg_apply (f : FormalMultilinearSeries 𝕜 E F) (n : ℕ) : (-f) n = - f n := rfl
 
-@[ext] -- Porting note: new theorem
+@[ext] -- Porting note (#10756): new theorem
 protected theorem ext {p q : FormalMultilinearSeries 𝕜 E F} (h : ∀ n, p n = q n) : p = q :=
   funext h
 

I removed some of the tactics that were not used and are hopefully uncontroversial arising from the linter at #11308.

As the commit messages should convey, the removed tactics are, essentially,

push_cast
norm_cast
congr
norm_num
dsimp
funext
intro
infer_instance

@@ -300,7 +300,6 @@ theorem mkPiRing_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
 @[simp]
 theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n := by
   convert (p n).toMultilinearMap.map_smul_univ y 1
-  funext
   simp only [Pi.one_apply, Algebra.id.smul_eq_mul, mul_one]
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 

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".

@@ -29,7 +29,7 @@ noncomputable section
 
 open Set Fin Topology
 
--- porting note: added explicit universes to fix compile
+-- Porting note: added explicit universes to fix compile
 universe u u' v w x
 variable {𝕜 : Type u} {𝕜' : Type u'} {E : Type v} {F : Type w} {G : Type x}
 
@@ -67,13 +67,13 @@ end Module
 
 namespace FormalMultilinearSeries
 
-@[simp] -- porting note: new; was not needed in Lean 3
+@[simp] -- Porting note: new; was not needed in Lean 3
 theorem zero_apply (n : ℕ) : (0 : FormalMultilinearSeries 𝕜 E F) n = 0 := rfl
 
-@[simp] -- porting note: new; was not needed in Lean 3
+@[simp] -- Porting note: new; was not needed in Lean 3
 theorem neg_apply (f : FormalMultilinearSeries 𝕜 E F) (n : ℕ) : (-f) n = - f n := rfl
 
-@[ext] -- porting note: new theorem
+@[ext] -- Porting note: new theorem
 protected theorem ext {p q : FormalMultilinearSeries 𝕜 E F} (h : ∀ n, p n = q n) : p = q :=
   funext h
 
@@ -172,7 +172,7 @@ corresponds to starting from a Taylor series (`HasFTaylorSeriesUpTo`) for the de
 function, and building a Taylor series for the function itself. -/
 def unshift (q : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F)) (z : F) : FormalMultilinearSeries 𝕜 E F
   | 0 => (continuousMultilinearCurryFin0 𝕜 E F).symm z
-  | n + 1 => -- porting note: added type hint here and explicit universes to fix compile
+  | n + 1 => -- Porting note: added type hint here and explicit universes to fix compile
     (continuousMultilinearCurryRightEquiv' 𝕜 n E F :
       (E [×n]→L[𝕜] E →L[𝕜] F) → (E [×n.succ]→L[𝕜] F)) (q n)
 #align formal_multilinear_series.unshift FormalMultilinearSeries.unshift

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

@@ -308,7 +308,6 @@ theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
   rw [← mkPiRing_coeff_eq p, ContinuousMultilinearMap.mkPiRing_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 
-@[simp]
 theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by simp
 #align formal_multilinear_series.apply_eq_pow_smul_coeff FormalMultilinearSeries.apply_eq_pow_smul_coeff
 

This matches the generality of the non-continuous versions.

The norm_smulRight lemma is the only new result.

@@ -292,10 +292,10 @@ def coeff (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) : E :=
   p n 1
 #align formal_multilinear_series.coeff FormalMultilinearSeries.coeff
 
-theorem mkPiField_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
-    ContinuousMultilinearMap.mkPiField 𝕜 (Fin n) (p.coeff n) = p n :=
-  (p n).mkPiField_apply_one_eq_self
-#align formal_multilinear_series.mk_pi_field_coeff_eq FormalMultilinearSeries.mkPiField_coeff_eq
+theorem mkPiRing_coeff_eq (p : FormalMultilinearSeries 𝕜 𝕜 E) (n : ℕ) :
+    ContinuousMultilinearMap.mkPiRing 𝕜 (Fin n) (p.coeff n) = p n :=
+  (p n).mkPiRing_apply_one_eq_self
+#align formal_multilinear_series.mk_pi_field_coeff_eq FormalMultilinearSeries.mkPiRing_coeff_eq
 
 @[simp]
 theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n := by
@@ -305,7 +305,7 @@ theorem apply_eq_prod_smul_coeff : p n y = (∏ i, y i) • p.coeff n := by
 #align formal_multilinear_series.apply_eq_prod_smul_coeff FormalMultilinearSeries.apply_eq_prod_smul_coeff
 
 theorem coeff_eq_zero : p.coeff n = 0 ↔ p n = 0 := by
-  rw [← mkPiField_coeff_eq p, ContinuousMultilinearMap.mkPiField_eq_zero_iff]
+  rw [← mkPiRing_coeff_eq p, ContinuousMultilinearMap.mkPiRing_eq_zero_iff]
 #align formal_multilinear_series.coeff_eq_zero FormalMultilinearSeries.coeff_eq_zero
 
 @[simp]
@@ -314,7 +314,7 @@ theorem apply_eq_pow_smul_coeff : (p n fun _ => z) = z ^ n • p.coeff n := by s
 
 @[simp]
 theorem norm_apply_eq_norm_coef : ‖p n‖ = ‖coeff p n‖ := by
-  rw [← mkPiField_coeff_eq p, ContinuousMultilinearMap.norm_mkPiField]
+  rw [← mkPiRing_coeff_eq p, ContinuousMultilinearMap.norm_mkPiRing]
 #align formal_multilinear_series.norm_apply_eq_norm_coef FormalMultilinearSeries.norm_apply_eq_norm_coef
 
 end Coef

Co-authored-by: Sophie Morel

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com> Co-authored-by: morel <smorel@math.princeton.edu>

@@ -35,7 +35,7 @@ variable {𝕜 : Type u} {𝕜' : Type u'} {E : Type v} {F : Type w} {G : Type x
 
 section
 
-variable [CommRing 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E]
+variable [Ring 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E]
   [ContinuousConstSMul 𝕜 E] [AddCommGroup F] [Module 𝕜 F] [TopologicalSpace F]
   [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F] [AddCommGroup G] [Module 𝕜 G]
   [TopologicalSpace G] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜 G]
@@ -59,11 +59,9 @@ instance : Inhabited (FormalMultilinearSeries 𝕜 E F) :=
 
 section Module
 
-/- `derive` is not able to find the module structure, probably because Lean is confused by the
-dependent types. We register it explicitly. -/
--- Porting note: rewrote with `inferInstanceAs`
-instance : Module 𝕜 (FormalMultilinearSeries 𝕜 E F) :=
-  inferInstanceAs <| Module 𝕜 <| ∀ n : ℕ, E[×n]→L[𝕜] F
+instance (𝕜') [Semiring 𝕜'] [Module 𝕜' F] [ContinuousConstSMul 𝕜' F] [SMulCommClass 𝕜 𝕜' F] :
+    Module 𝕜' (FormalMultilinearSeries 𝕜 E F) :=
+  inferInstanceAs <| Module 𝕜' <| ∀ n : ℕ, E[×n]→L[𝕜] F
 
 end Module
 
@@ -138,7 +136,7 @@ theorem compContinuousLinearMap_apply (p : FormalMultilinearSeries 𝕜 F G) (u
   rfl
 #align formal_multilinear_series.comp_continuous_linear_map_apply FormalMultilinearSeries.compContinuousLinearMap_apply
 
-variable (𝕜) [CommRing 𝕜'] [SMul 𝕜 𝕜']
+variable (𝕜) [Ring 𝕜'] [SMul 𝕜 𝕜']
 
 variable [Module 𝕜' E] [ContinuousConstSMul 𝕜' E] [IsScalarTower 𝕜 𝕜' E]
 
@@ -181,13 +179,15 @@ def unshift (q : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F)) (z : F) : Form
 
 end FormalMultilinearSeries
 
-namespace ContinuousLinearMap
+section
 
-variable [CommRing 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E]
+variable [Ring 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E]
   [ContinuousConstSMul 𝕜 E] [AddCommGroup F] [Module 𝕜 F] [TopologicalSpace F]
   [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F] [AddCommGroup G] [Module 𝕜 G]
   [TopologicalSpace G] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜 G]
 
+namespace ContinuousLinearMap
+
 /-- Composing each term `pₙ` in a formal multilinear series with a continuous linear map `f` on the
 left gives a new formal multilinear series `f.compFormalMultilinearSeries p` whose general term
 is `f ∘ pₙ`. -/
@@ -208,11 +208,28 @@ theorem compFormalMultilinearSeries_apply' (f : F →L[𝕜] G) (p : FormalMulti
 
 end ContinuousLinearMap
 
+namespace ContinuousMultilinearMap
+
+variable {ι : Type*} {E : ι → Type*} [∀ i, AddCommGroup (E i)] [∀ i, Module 𝕜 (E i)]
+  [∀ i, TopologicalSpace (E i)] [∀ i, TopologicalAddGroup (E i)]
+  [∀ i, ContinuousConstSMul 𝕜 (E i)] [Fintype ι] (f : ContinuousMultilinearMap 𝕜 E F)
+
+/-- Realize a ContinuousMultilinearMap on `∀ i : ι, E i` as the evaluation of a
+FormalMultilinearSeries by choosing an arbitrary identification `ι ≃ Fin (Fintype.card ι)`. -/
+noncomputable def toFormalMultilinearSeries : FormalMultilinearSeries 𝕜 (∀ i, E i) F :=
+  fun n ↦ if h : Fintype.card ι = n then
+    (f.compContinuousLinearMap .proj).domDomCongr (Fintype.equivFinOfCardEq h)
+  else 0
+
+end ContinuousMultilinearMap
+
+end
+
 namespace FormalMultilinearSeries
 
 section Order
 
-variable [CommRing 𝕜] {n : ℕ} [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E]
+variable [Ring 𝕜] {n : ℕ} [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E]
   [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E] [AddCommGroup F] [Module 𝕜 F]
   [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul 𝕜 F]
   {p : FormalMultilinearSeries 𝕜 E F}

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -162,14 +162,16 @@ variable [NontriviallyNormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜
 variable (p : FormalMultilinearSeries 𝕜 E F)
 
 /-- Forgetting the zeroth term in a formal multilinear series, and interpreting the following terms
-as multilinear maps into `E →L[𝕜] F`. If `p` corresponds to the Taylor series of a function, then
-`p.shift` is the Taylor series of the derivative of the function. -/
+as multilinear maps into `E →L[𝕜] F`. If `p` is the Taylor series (`HasFTaylorSeriesUpTo`) of a
+function, then `p.shift` is the Taylor series of the derivative of the function. Note that the
+`p.sum` of a Taylor series `p` does not give the original function; for a formal multilinear
+series that sums to the derivative of `p.sum`, see `HasFPowerSeriesOnBall.fderiv`. -/
 def shift : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F) := fun n => (p n.succ).curryRight
 #align formal_multilinear_series.shift FormalMultilinearSeries.shift
 
 /-- Adding a zeroth term to a formal multilinear series taking values in `E →L[𝕜] F`. This
-corresponds to starting from a Taylor series for the derivative of a function, and building a Taylor
-series for the function itself. -/
+corresponds to starting from a Taylor series (`HasFTaylorSeriesUpTo`) for the derivative of a
+function, and building a Taylor series for the function itself. -/
 def unshift (q : FormalMultilinearSeries 𝕜 E (E →L[𝕜] F)) (z : F) : FormalMultilinearSeries 𝕜 E F
   | 0 => (continuousMultilinearCurryFin0 𝕜 E F).symm z
   | n + 1 => -- porting note: added type hint here and explicit universes to fix compile

@@ -367,11 +367,11 @@ def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
   | _ => 0
 #align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
 
-theorem fpower_series_apply_zero (f : E →L[𝕜] F) (x : E) :
+theorem fpowerSeries_apply_zero (f : E →L[𝕜] F) (x : E) :
     f.fpowerSeries x 0 = ContinuousMultilinearMap.curry0 𝕜 _ (f x) :=
   rfl
 
-theorem fpower_series_apply_one (f : E →L[𝕜] F) (x : E) :
+theorem fpowerSeries_apply_one (f : E →L[𝕜] F) (x : E) :
     f.fpowerSeries x 1 = (continuousMultilinearCurryFin1 𝕜 E F).symm f :=
   rfl
 
@@ -380,7 +380,7 @@ theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fp
 #align continuous_linear_map.fpower_series_apply_add_two ContinuousLinearMap.fpowerSeries_apply_add_two
 
 attribute
-  [eqns fpower_series_apply_zero fpower_series_apply_one fpowerSeries_apply_add_two] fpowerSeries
+  [eqns fpowerSeries_apply_zero fpowerSeries_apply_one fpowerSeries_apply_add_two] fpowerSeries
 attribute [simp] fpowerSeries
 
 end ContinuousLinearMap

I'm going to add more files, so I need to move some of the existing files to subfolders.

@@ -3,7 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathlib.Analysis.NormedSpace.MultilinearCurrying
+import Mathlib.Analysis.NormedSpace.Multilinear.Curry
 
 #align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
 

This moves the isomorphisms corresponding to currying or uncurrying variables into a separate file, as they're mostly independent of the rest of the file.

@@ -3,7 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathlib.Analysis.NormedSpace.Multilinear
+import Mathlib.Analysis.NormedSpace.MultilinearCurrying
 
 #align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
 

We record various simple lemmas that things are analyticAt or analyticOn. There's no hard work here, just corollaries of other results:

1. id, fst, snd
2. Power series terms, in the origin (we already know they have power series, this is just the .analyticAt_changeOrigin corollary
3. Finite sums
4. Pairs of analytic functions: x ↦ (f x, g x)

We also add a few lemmas for dealing with curried analytic functions. Starting with AnalyticOn 𝕜 (uncurry h) s,

1. AnalyticOn.curry_comp composes it with two input analytic functions
2. AnalyticOn.along_fst/snd show analyticity along each coordinate

Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: David Loeffler <d.loeffler.01@cantab.net>

@@ -386,18 +386,3 @@ attribute [simp] fpowerSeries
 end ContinuousLinearMap
 
 end Linear
-
-section Geometric
-
-variable (𝕜) [NontriviallyNormedField 𝕜]
-  (A : Type*) [NormedRing A] [NormedAlgebra 𝕜 A] [NormOneClass A]
-
-/-- The geometric series `1 + x + x ^ 2 + ...` as a `FormalMultilinearSeries`.-/
-def formalMultilinearSeries_geometric : FormalMultilinearSeries 𝕜 A A :=
-  fun n ↦ ContinuousMultilinearMap.mkPiAlgebraFin 𝕜 n A
-
-lemma formalMultilinearSeries_geometric_apply_norm (n : ℕ) :
-    ‖formalMultilinearSeries_geometric 𝕜 A n‖ = 1 := by
-  apply @ContinuousMultilinearMap.norm_mkPiAlgebraFin _ _ (fun _ ↦ A)
-
-end Geometric

This PR adds some basic results about analytic functions: products of analytic functions are analytic, and the inverse map on a normed field is analytic away from 0.

@@ -57,12 +57,6 @@ instance : AddCommGroup (FormalMultilinearSeries 𝕜 E F) :=
 instance : Inhabited (FormalMultilinearSeries 𝕜 E F) :=
   ⟨0⟩
 
-@[simp] -- porting note: new; was not needed in Lean 3
-theorem zero_apply (n : ℕ) : (0 : FormalMultilinearSeries 𝕜 E F) n = 0 := rfl
-
-@[simp] -- porting note: new; was not needed in Lean 3
-theorem neg_apply (f : FormalMultilinearSeries 𝕜 E F) (n : ℕ) : (-f) n = - f n := rfl
-
 section Module
 
 /- `derive` is not able to find the module structure, probably because Lean is confused by the
@@ -75,6 +69,12 @@ end Module
 
 namespace FormalMultilinearSeries
 
+@[simp] -- porting note: new; was not needed in Lean 3
+theorem zero_apply (n : ℕ) : (0 : FormalMultilinearSeries 𝕜 E F) n = 0 := rfl
+
+@[simp] -- porting note: new; was not needed in Lean 3
+theorem neg_apply (f : FormalMultilinearSeries 𝕜 E F) (n : ℕ) : (-f) n = - f n := rfl
+
 @[ext] -- porting note: new theorem
 protected theorem ext {p q : FormalMultilinearSeries 𝕜 E F} (h : ∀ n, p n = q n) : p = q :=
   funext h
@@ -87,6 +87,12 @@ protected theorem ne_iff {p q : FormalMultilinearSeries 𝕜 E F} : p ≠ q ↔
   Function.ne_iff
 #align formal_multilinear_series.ne_iff FormalMultilinearSeries.ne_iff
 
+/-- Cartesian product of two formal multilinear series (with the same field `𝕜` and the same source
+space, but possibly different target spaces). -/
+def prod (p : FormalMultilinearSeries 𝕜 E F) (q : FormalMultilinearSeries 𝕜 E G) :
+    FormalMultilinearSeries 𝕜 E (F × G)
+  | n => (p n).prod (q n)
+
 /-- Killing the zeroth coefficient in a formal multilinear series -/
 def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries 𝕜 E F
   | 0 => 0
@@ -344,3 +350,54 @@ theorem constFormalMultilinearSeries_apply [NontriviallyNormedField 𝕜] [Norme
 #align const_formal_multilinear_series_apply constFormalMultilinearSeries_apply
 
 end Const
+
+section Linear
+
+variable [NontriviallyNormedField 𝕜]
+  [NormedAddCommGroup E] [NormedSpace 𝕜 E]
+  [NormedAddCommGroup F] [NormedSpace 𝕜 F]
+
+namespace ContinuousLinearMap
+
+/-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
+`f y = f x + f (y - x)`. -/
+def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
+  | 0 => ContinuousMultilinearMap.curry0 𝕜 _ (f x)
+  | 1 => (continuousMultilinearCurryFin1 𝕜 E F).symm f
+  | _ => 0
+#align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
+
+theorem fpower_series_apply_zero (f : E →L[𝕜] F) (x : E) :
+    f.fpowerSeries x 0 = ContinuousMultilinearMap.curry0 𝕜 _ (f x) :=
+  rfl
+
+theorem fpower_series_apply_one (f : E →L[𝕜] F) (x : E) :
+    f.fpowerSeries x 1 = (continuousMultilinearCurryFin1 𝕜 E F).symm f :=
+  rfl
+
+theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fpowerSeries x (n + 2) = 0 :=
+  rfl
+#align continuous_linear_map.fpower_series_apply_add_two ContinuousLinearMap.fpowerSeries_apply_add_two
+
+attribute
+  [eqns fpower_series_apply_zero fpower_series_apply_one fpowerSeries_apply_add_two] fpowerSeries
+attribute [simp] fpowerSeries
+
+end ContinuousLinearMap
+
+end Linear
+
+section Geometric
+
+variable (𝕜) [NontriviallyNormedField 𝕜]
+  (A : Type*) [NormedRing A] [NormedAlgebra 𝕜 A] [NormOneClass A]
+
+/-- The geometric series `1 + x + x ^ 2 + ...` as a `FormalMultilinearSeries`.-/
+def formalMultilinearSeries_geometric : FormalMultilinearSeries 𝕜 A A :=
+  fun n ↦ ContinuousMultilinearMap.mkPiAlgebraFin 𝕜 n A
+
+lemma formalMultilinearSeries_geometric_apply_norm (n : ℕ) :
+    ‖formalMultilinearSeries_geometric 𝕜 A n‖ = 1 := by
+  apply @ContinuousMultilinearMap.norm_mkPiAlgebraFin _ _ (fun _ ↦ A)
+
+end Geometric

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

This has nice performance benefits.

@@ -43,7 +43,7 @@ variable [CommRing 𝕜] [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E] [
 /-- A formal multilinear series over a field `𝕜`, from `E` to `F`, is given by a family of
 multilinear maps from `E^n` to `F` for all `n`. -/
 @[nolint unusedArguments]
-def FormalMultilinearSeries (𝕜 : Type _) (E : Type _) (F : Type _) [Ring 𝕜] [AddCommGroup E]
+def FormalMultilinearSeries (𝕜 : Type*) (E : Type*) (F : Type*) [Ring 𝕜] [AddCommGroup E]
     [Module 𝕜 E] [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     [AddCommGroup F] [Module 𝕜 F] [TopologicalSpace F] [TopologicalAddGroup F]
     [ContinuousConstSMul 𝕜 F] :=
@@ -328,9 +328,9 @@ section Const
 /-- The formal multilinear series where all terms of positive degree are equal to zero, and the term
 of degree zero is `c`. It is the power series expansion of the constant function equal to `c`
 everywhere. -/
-def constFormalMultilinearSeries (𝕜 : Type _) [NontriviallyNormedField 𝕜] (E : Type _)
+def constFormalMultilinearSeries (𝕜 : Type*) [NontriviallyNormedField 𝕜] (E : Type*)
     [NormedAddCommGroup E] [NormedSpace 𝕜 E] [ContinuousConstSMul 𝕜 E] [TopologicalAddGroup E]
-    {F : Type _} [NormedAddCommGroup F] [TopologicalAddGroup F] [NormedSpace 𝕜 F]
+    {F : Type*} [NormedAddCommGroup F] [TopologicalAddGroup F] [NormedSpace 𝕜 F]
     [ContinuousConstSMul 𝕜 F] (c : F) : FormalMultilinearSeries 𝕜 E F
   | 0 => ContinuousMultilinearMap.curry0 _ _ c
   | _ => 0

• depends on: #5966

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

@@ -2,14 +2,11 @@
 Copyright (c) 2019 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 analysis.calculus.formal_multilinear_series
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.Multilinear
 
+#align_import analysis.calculus.formal_multilinear_series from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
+
 /-!
 # Formal multilinear series
 

@@ -316,7 +316,7 @@ theorem coeff_fslope : p.fslope.coeff n = p.coeff (n + 1) := by
 #align formal_multilinear_series.coeff_fslope FormalMultilinearSeries.coeff_fslope
 
 @[simp]
-theorem coeff_iterate_fslope (k n : ℕ) : ((fslope^[k]) p).coeff n = p.coeff (n + k) := by
+theorem coeff_iterate_fslope (k n : ℕ) : (fslope^[k] p).coeff n = p.coeff (n + k) := by
   induction k generalizing p with
   | zero => rfl
   | succ k ih => simp [ih, add_assoc]

Co-authored-by: adomani <adomani@gmail.com> Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>

@@ -63,6 +63,9 @@ instance : Inhabited (FormalMultilinearSeries 𝕜 E F) :=
 @[simp] -- porting note: new; was not needed in Lean 3
 theorem zero_apply (n : ℕ) : (0 : FormalMultilinearSeries 𝕜 E F) n = 0 := rfl
 
+@[simp] -- porting note: new; was not needed in Lean 3
+theorem neg_apply (f : FormalMultilinearSeries 𝕜 E F) (n : ℕ) : (-f) n = - f n := rfl
+
 section Module
 
 /- `derive` is not able to find the module structure, probably because Lean is confused by the

Co-authored-by: @semorrison

@@ -75,6 +75,10 @@ end Module
 
 namespace FormalMultilinearSeries
 
+@[ext] -- porting note: new theorem
+protected theorem ext {p q : FormalMultilinearSeries 𝕜 E F} (h : ∀ n, p n = q n) : p = q :=
+  funext h
+
 protected theorem ext_iff {p q : FormalMultilinearSeries 𝕜 E F} : p = q ↔ ∀ n, p n = q n :=
   Function.funext_iff
 #align formal_multilinear_series.ext_iff FormalMultilinearSeries.ext_iff

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